Hyperbolic And Kinetic Models For Self Organised Biological Aggregations
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Hyperbolic And Kinetic Models For Self Organised Biological Aggregations
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Author : Raluca Eftimie
language : en
Publisher:
Release Date : 2018
Hyperbolic And Kinetic Models For Self Organised Biological Aggregations written by Raluca Eftimie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Biology categories.
This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.--Provided by publisher.
Hyperbolic And Kinetic Models For Self Organised Biological Aggregations
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Author : Raluca Eftimie
language : en
Publisher: Springer
Release Date : 2019-01-07
Hyperbolic And Kinetic Models For Self Organised Biological Aggregations written by Raluca Eftimie and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-07 with Mathematics categories.
This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.
Active Particles Volume 2
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Author : Nicola Bellomo
language : en
Publisher: Springer Nature
Release Date : 2019-08-22
Active Particles Volume 2 written by Nicola Bellomo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-22 with Mathematics categories.
This volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including: Biological network formation Social systems Control theory of sparse systems Dynamics of swarming and flocking systems Stochastic particles and mean field approximations Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
Mathematical Sciences With Multidisciplinary Applications
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Author : Bourama Toni
language : en
Publisher: Springer
Release Date : 2016-08-19
Mathematical Sciences With Multidisciplinary Applications written by Bourama Toni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.
This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.
Advances In Applied Mechanics
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Author :
language : en
Publisher: Academic Press
Release Date : 2022-11-04
Advances In Applied Mechanics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-04 with Science categories.
Advances in Applied Mechanics, Volume 55 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Towards stochastic multi-scale methods in continuum solid mechanics, Fracture in soft elastic materials: Continuum description, molecular aspects and applications, Bio-Chemo-Mechanical Coupling Models of Soft Biological Materials: A Review, Viscoelasticity and cell swirling motion, Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus, Oncology and mechanics: Landmark studies and promising clinical. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Applied Mechanics series - Edited by some of the best scientists in the field
30 Second Numbers
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Author : Niamh Nic Daeid
language : en
Publisher: Ivy Press
Release Date : 2020-03-03
30 Second Numbers written by Niamh Nic Daeid and has been published by Ivy Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-03 with Mathematics categories.
The successful 30-Second series tackles numbers, with experts on maths and data demystifying the essential numerical topics. We know that we use numbers pretty often, some of us confidently, others reluctantly. But are we aware of just how essential they are to almost every decision we make? Counting and measuring when we’re shopping, travelling, studying or playing are just the beginning; the applications of numbers are endless, from assessing variables and analysing data to the calculations and predictions of advanced artificial intelligence. 30-Second Numbers exploresnumber categories,the science of measuring, how guesstimates work, and the visualisation of numbers, taking you behind the digits into the world of statistics, probability, risk and ratios. Sections include: Fundamental Numbers - A guide to the different kinds of basic numbers, from rational to prime, complex to continuous. Statistical Variations and Tests - Samples, populations and random variables are all explored in this section on all things stats! Probability and Risk - Learn about prediction and hypothesis testing, as well as absolute and relative risk. Visualising numbers - From numerical bias to logarithms and algorithms, this section shows us all the different ways we can visualise numbers. Using Numbers - Big data, artificial intelligence and machine learning are all covered in this section, about how these concepts are applied in the real world. Numbers are our way of imposing order on the world, and each of the 50 topics here uses just 300 words and one picture to give you a sense of control, helping you to understand trends in statistical data, how algorithms are used and the methods involved in machine learning. In addition, each section contains a profile of a famous mathematician whose work has greatly contributed to how we understand numbers today, from Fibonacci to Pierre de Fermat. With this book, numbers need never be daunting again. The 30 Second series is a handy collection of quick guides which explain the key aspects of core subjects, from numbers to literature to art to Ancient China to biology, and lots more! These titles use only 300 words to explore each section within a topic, making them quick and digestible for those looking to learn a lot, fast!
Fractional Order Crowd Dynamics
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Author : Kecai Cao
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-06-11
Fractional Order Crowd Dynamics written by Kecai Cao and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-11 with Mathematics categories.
This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.
The Dynamics Of Biological Systems
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Author : Arianna Bianchi
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
The Dynamics Of Biological Systems written by Arianna Bianchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Mathematics categories.
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.
Mathematical Models And Methods For Living Systems
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Author : Luigi Preziosi
language : en
Publisher: Springer
Release Date : 2016-11-09
Mathematical Models And Methods For Living Systems written by Luigi Preziosi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Mathematics categories.
The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods.Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.
Issues In Applied Mathematics 2013 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-05-01
Issues In Applied Mathematics 2013 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Mathematics categories.
Issues in Applied Mathematics / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Physics. The editors have built Issues in Applied Mathematics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Physics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Mathematics: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.